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Finding the Fourth Proportional to 428,094.44, 642,090.54 and 112,575.92

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Solution

The fourth proportional to 428,094.44, 642,090.54 and 112,575.92 is: 168,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,094.44 : 642,090.54 = 112,575.92 : x
  2. Step 2: Convert to fraction form
    428,094.44/642,090.54 = 112,575.92/x
  3. Step 3: Cross multiply
    428,094.44x = 642,090.54 × 112,575.92
  4. Step 4: Simplify right side
    428,094.44x = 72,283,933,263.80
  5. Step 5: Solve for x
    x = 72,283,933,263.80/428,094.44
  6. Step 6: Final answer
    x = 168,850.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.